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Finding the Third Proportional to 67,878 and 141,938

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Solution

The third proportional to 67,878 and 141,938 is: 296,803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878 : 141,938 = 141,938 : x
  2. Step 2: Convert to fraction form
    67,878/141,938 = 141,938/x
  3. Step 3: Cross multiply
    67,878x = 141,938 × 141,938
  4. Step 4: Simplify right side
    67,878x = 20,146,395,844
  5. Step 5: Solve for x
    x = 20,146,395,844/67,878
  6. Step 6: Final answer
    x = 296,803.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.